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Finding the Fourth Proportional to 114.22, 157.64 and 70.58

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Solution

The fourth proportional to 114.22, 157.64 and 70.58 is: 97.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 157.64 = 70.58 : x
  2. Step 2: Convert to fraction form
    114.22/157.64 = 70.58/x
  3. Step 3: Cross multiply
    114.22x = 157.64 × 70.58
  4. Step 4: Simplify right side
    114.22x = 11,126.23
  5. Step 5: Solve for x
    x = 11,126.23/114.22
  6. Step 6: Final answer
    x = 97.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.